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Finding the Third Proportional to 267,098 and 587,956

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Solution

The third proportional to 267,098 and 587,956 is: 1,294,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,098 : 587,956 = 587,956 : x
  2. Step 2: Convert to fraction form
    267,098/587,956 = 587,956/x
  3. Step 3: Cross multiply
    267,098x = 587,956 × 587,956
  4. Step 4: Simplify right side
    267,098x = 345,692,257,936
  5. Step 5: Solve for x
    x = 345,692,257,936/267,098
  6. Step 6: Final answer
    x = 1,294,252.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.